Question

select the correct answer.
if \\(\frac{3}{4}\\) and \\(\frac{12}{x}\\) are equivalent, what is the value of \\(x\\)?
\\(\bigcirc\\) a. \\(\\ 48\\)
\\(\bigcirc\\) b. \\(\\ 36\\)
\\(\bigcirc\\) c. \\(\\ 24\\)
\\(\bigcirc\\) d. \\(\\ 16\\)

Explanation:

Step1: Set up equivalent fractions

$$\frac{3}{4} = \frac{12}{x}$$

Step2: Cross-multiply to solve for $x$

$$3x = 12 \times 4$$

Step3: Calculate right-hand side

$$3x = 48$$

Step4: Isolate $x$

$$x = \frac{48}{3}$$

Step5: Compute final value

$$x = 16$$

Answer:

D. 16